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3 years ago

Show me how to solve 48 divided by 3

Mathematics

1 answer:

Papessa [141]3 years ago

3 0

Answer:

16 3 goes into 48 16 times.

Step-by-step explanation:

48÷3 = 16 3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3=48

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Construct a 99% confidence interval for the population mean, mu. Assume the population has a normal distribution. A group of 1

Zarrin [17]

Answer:

99% confidence interval for the population mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean age of selected students = 22.4 years

s = sample standard deviation = 3.8 years

n = sample of students = 19

$\mu$ = population mean

<em>Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 99% confidence interval for the population mean, $\mu$ is ;

P(-2.878 < $t_1_8$ < 2.878) = 0.99 {As the critical value of t at 18 degree of

freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ < 2.878) = 0.99

P( $-2.878 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X - \mu}$ < $2.878 \times {\frac{s}{\sqrt{n} } }$ ) = 0.99

P( $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ < $\mu$ < $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ) = 0.99

<u>99% confidence interval for</u> $\mu$ = [ $\bar X -2.878 \times {\frac{s}{\sqrt{n} }$ , $\bar X +2.878 \times {\frac{s}{\sqrt{n} }$ ]

= [ $22.4 -2.878 \times {\frac{3.8}{\sqrt{19} }$ , $22.4 +2.878 \times {\frac{3.8}{\sqrt{19} }$ ]

= [19.891 , 24.909]

Therefore, 99% confidence interval for the population mean is [19.891 , 24.909].

6 0

3 years ago

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 40% chan

azamat

Answer:

There are a 25% probability that Christine fails the course.

Step-by-step explanation:

We have these following probabilities:

A 50% probability that Christine finds a tutor.

With a tutor, she has a 10% probability of failling.

A 50% probability that Christine does not find a tutor.

Without a tutor, she has a 40% probability of failing.

Probability that she fails:

10% of 50%(fail with a tutor) plus 40% of 50%(fail without a tutor). So

$P = 0.1*0.5 + 0.4*0.5 = 0.25$

There are a 25% probability that Christine fails the course.

6 0

3 years ago

Can someone please help???? BASIC ALGEBRA problem

user100 [1]

Answer:

3. 9x+5+x-7=25

4. 10x-2=25

5. 10x=27

Step-by-step explanation:

3. 9x+5+x-7=25

4. 10x-2=25

10x=25+2

5. 10x=27

x=27÷10

x=2.7

7 0

3 years ago

find the slope of the line on the graph. write your answer as a fraction or a whole number, not a mixed number or decimal.

Georgia [21]

The slope of the line on the graph is 1

8 0

2 years ago

Read 2 more answers

Esther. Vida and Clair were asked to consider two different cash flows: GH¢1000 that they

Leona [35]

Answer:

Esther is right. Take the cash today

Step-by-step explanation:

The value of money tends to decrease due to inflation. With GH¢1000 now, she can invest and work to earn more herself.

3 0

3 years ago